It gives you a pretty good amount of data that you can use. The best thing about it is that it's free - I'd be surprised if you could get anything equally as good for the same low, low price. Matt's using it on MeFi (check at the bottom of a page's source to see the JavaScript for it)

I've been using it for a few months now, since I got tired of the crappy service I was getting from TypePad.

I find it a very useful way to track how often my mother reads my blog.

I use it and awstats which is my favorite still. I like having two that you can compare. Googles gives many fun and somewhat useful graphs which can't hurt.

For log analyzing stats use Awstats. If the site have not so much traffic I suggest PhPStats or Performancing (real-time stats, shinystat style).

If you just want purdy there's mint. I haven't tried it though.

Great! I'll use both Google and Awstats. More information is better, as the website's for a non-profit organisation that has to do reports to the government about how the website's affecting people's interest in them. That way they can get more money from the gov't and it can go for upgrades and for me teaching others how to maintain the website (without it going to hell like the last one - no one cleaned up their code! gaah). Thanks for the advice, all.

Just a note of warning, if you're on 1and1 hosting, AWStats is a bitch to set up. I've also found it a bitch to maintain.